Function Composition

When h is defined by $$h\left(x\right)=\frac{1}{x+3}$$ . If h can be formed by the composition of the functions f and g such that h(x)=g(f(x)), which of the following could be used to define f and g. ​ ​

if h(x)=f(g(x)) and f(x)=x+3 and g(x)=x+2. Graph h(x)

Given $$f\left(x\right)=5x+7$$  and  $$g\left(x\right)=4x+3$$ ,

Find  $$\left(g\circ f\right)\left(x\right)$$  in simplest form.

If $$f\left(x\right)=\frac{1}{x}$$   and  $$g\left(x\right)=3x+2$$   find $$\left(g\circ g\right)\left(-4\right)$$  

When $$f(x)=x^2+9$$   and $$g(x)=x-9$$  , find $$f(x)-g(x)$$  

$$g\left(f\left(2\right)\right)$$